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Cognitive linguistics is an emerging discipline that studies the cognitive properties of natural languages and the cognitive models of languages in computing linguistics, cognitive computing, and computational intelligence. This paper presents the theoretical framework of cognitive linguistics in order to systematically formalize the syntaxes and grammars of natural languages. An abstract language model of cognitive linguistics is created at the top level. Based on it, the cognitive structuresdoi:10.1166/jama.2012.1019 fatcat:dlc57moazvah7fovharfnpscym